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65669472 = 253211191091
BaseRepresentation
bin1111101010000…
…0100101100000
311120120100120200
43322200211200
5113302410342
610303305200
71425116121
oct372404540
9146510520
1065669472
11340834a0
1219bab200
13107b369b
148a16048
155b7294c
hex3ea0960

65669472 has 144 divisors (see below), whose sum is σ = 214643520. Its totient is φ = 18835200.

The previous prime is 65669459. The next prime is 65669473. The reversal of 65669472 is 27496656.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65669473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59647 + ... + 60737.

It is an arithmetic number, because the mean of its divisors is an integer number (1490580).

Almost surely, 265669472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65669472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107321760).

65669472 is an abundant number, since it is smaller than the sum of its proper divisors (148974048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65669472 is a wasteful number, since it uses less digits than its factorization.

65669472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1126 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 65669472 is about 8103.6702795709. The cubic root of 65669472 is about 403.4482550893.

The spelling of 65669472 in words is "sixty-five million, six hundred sixty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 32 33 36 38 44 48 57 66 72 76 88 96 99 114 132 144 152 171 176 198 209 228 264 288 304 342 352 396 418 456 528 608 627 684 792 836 912 1056 1091 1254 1368 1584 1672 1824 1881 2182 2508 2736 3168 3273 3344 3762 4364 5016 5472 6546 6688 7524 8728 9819 10032 12001 13092 15048 17456 19638 20064 20729 24002 26184 30096 34912 36003 39276 41458 48004 52368 60192 62187 72006 78552 82916 96008 104736 108009 124374 144012 157104 165832 186561 192016 216018 228019 248748 288024 314208 331664 373122 384032 432036 456038 497496 576048 663328 684057 746244 864072 912076 994992 1152096 1368114 1492488 1728144 1824152 1989984 2052171 2736228 2984976 3456288 3648304 4104342 5472456 5969952 7296608 8208684 10944912 16417368 21889824 32834736 65669472